(0, 0):1
(1, 0):-1/2
(1, 1):-1/2
(2, 0):0
(2, 1):0
(2, 2):-1/2
(3, 0):-1/2
(3, 1):1/2
(3, 2):0
(3, 3):-1/2
(4, 0):1/2
(4, 1):-1/2
(4, 2):0
(4, 3):-1/2
(4, 4):-1
(5, 0):-1/2
(5, 1):1/2
(5, 2):0
(5, 3):1/2
(5, 4):-1
(5, 5):0
(6, 0):1/2
(6, 1):-1/2
(6, 2):0
(6, 3):-3/2
(6, 4):0
(6, 5):-1
(6, 6):-1
(7, 0):-2
(7, 1):0
(7, 2):-3/2
(7, 3):0
(7, 4):-1/2
(7, 5):-1/2
(7, 6):-3/2
(7, 7):-3/2
(8, 0):1/2
(8, 1):-3/2
(8, 2):0
(8, 3):-5/2
(8, 4):0
(8, 5):-2
(8, 6):0
(8, 7):-2
(8, 8):-3/2
(9, 0):-3
(9, 1):0
(9, 2):-5/2
(9, 3):0
(9, 4):-7/2
(9, 5):-1/2
(9, 6):-7/2
(9, 7):-1/2
(9, 8):-2
(9, 9):-3/2
(10, 0):2
(10, 1):-1
(10, 2):-1/2
(10, 3):-4
(10, 4):-5/2
(10, 5):-7/2
(10, 6):-5/2
(10, 7):-7/2
(10, 8):-2
(10, 9):-7/2
(10, 10):-3
(11, 0):-2
(11, 1):1
(11, 2):-7/2
(11, 3):-2
(11, 4):-11/2
(11, 5):-5/2
(11, 6):-11/2
(11, 7):-5/2
(11, 8):-4
(11, 9):-5/2
(11, 10):-3
(11, 11):-2
(12, 0):1
(12, 1):-4
(12, 2):1/2
(12, 3):-6
(12, 4):-5/2
(12, 5):-15/2
(12, 6):-9/2
(12, 7):-15/2
(12, 8):-4
(12, 9):-13/2
(12, 10):-4
(12, 11):-5
(12, 12):-3
(13, 0):-9/2
(13, 1):-1/2
(13, 2):-6
(13, 3):-3/2
(13, 4):-8
(13, 5):-4
(13, 6):-10
(13, 7):-6
(13, 8):-21/2
(13, 9):-6
(13, 10):-15/2
(13, 11):-7/2
(13, 12):-13/2
(13, 13):-9/2